Question 952162: 2sin(x)cos(x) + sin(x)=0
Find all angles in radians that satisfy the equation. For each solution enter first the angle solution in [0,2\pi) then the period. When 2 or more solutions are available enter them in increasing order of the angles. (e.g. x=\pi/2 +2k\pi or x=3\pi/2 +2k\pi etc.)
Note: You are not allowed to use decimals in your answer.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! 2sin(x)cos(x) + sin(x)=0
Find all angles in radians that satisfy the equation. For each solution enter first the angle solution in [0,2\pi) then the period. When 2 or more solutions are available enter them in increasing order of the angles. (e.g. x=\pi/2 +2k\pi or x=3\pi/2 +2k\pi etc.)
Note: You are not allowed to use decimals in your answer.
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2sin(x)cos(x) + sin(x)=0
sin(x)(2cos(x)+1)=0
sinx=0
x=0+πk, k=any integer
..
2cos(x)+1=0
cos(x)=-1/2
x=2π/3+2πk, 4π/3+2πk, k= any integer
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